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Finding the Fourth Proportional to 7,218.38, 9,961.08 and 4,074.77

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Solution

The fourth proportional to 7,218.38, 9,961.08 and 4,074.77 is: 5,623.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,218.38 : 9,961.08 = 4,074.77 : x
  2. Step 2: Convert to fraction form
    7,218.38/9,961.08 = 4,074.77/x
  3. Step 3: Cross multiply
    7,218.38x = 9,961.08 × 4,074.77
  4. Step 4: Simplify right side
    7,218.38x = 40,589,119.57
  5. Step 5: Solve for x
    x = 40,589,119.57/7,218.38
  6. Step 6: Final answer
    x = 5,623.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.